Lie Groups and Lie Algebras: Chapters 1-3

Front Cover
Springer Science & Business Media, 1989 - Mathematics - 450 pages
0 Reviews

This is the softcover reprint of the 1975 English translation of the first three chapters of Bourbaki’s Groupes et algebres de Lie. The first chapter describes the theory of Lie algebras, their deviations, representations, and enveloping algebras. Chapter two introduces free Lie algebras in order to discuss the exponential, logarithmic and the Hausdorff series. Chapter three deals with the theory of Lie groups over R and C ultrametric fields.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

III
1
IV
3
V
5
VII
6
IX
7
X
8
XI
11
XII
12
CXVI
181
CXVII
186
CXVIII
187
CXIX
193
CXX
201
CXXI
204
CXXII
205
CXXIII
207

XIII
13
XIV
14
XV
15
XVI
16
XVII
17
XVIII
18
XIX
23
XX
25
XXII
28
XXIII
29
XXIV
31
XXV
32
XXVI
33
XXVII
35
XXVIII
36
XXIX
38
XXXI
39
XXXII
40
XXXIII
42
XXXV
43
XXXVII
44
XXXIX
47
XL
48
XLI
49
XLII
50
XLIV
51
XLV
54
XLVI
56
XLVII
58
XLVIII
59
XLIX
60
L
62
LI
66
LII
68
LIV
69
LVI
71
LVII
73
LVIII
83
LX
85
LXII
91
LXIV
99
LXV
102
LXVI
109
LXVIII
111
LXIX
113
LXX
114
LXXI
115
LXXII
116
LXXIII
119
LXXIV
122
LXXV
124
LXXVII
125
LXXVIII
126
LXXIX
128
LXXX
129
LXXXI
130
LXXXII
132
LXXXIII
134
LXXXIV
136
LXXXV
138
LXXXVI
140
LXXXVII
142
LXXXVIII
143
LXXXIX
144
XC
145
XCI
147
XCII
148
XCIII
149
XCV
150
XCVI
151
XCVII
152
XCVIII
154
XCIX
155
CI
157
CII
158
CIII
160
CIV
161
CV
164
CVII
165
CVIII
169
CIX
170
CX
171
CXI
172
CXIII
174
CXIV
176
CXV
178
CXXIV
209
CXXV
213
CXXVI
214
CXXVII
215
CXXVIII
217
CXXIX
219
CXXX
222
CXXXI
223
CXXXII
226
CXXXIII
228
CXXXIV
231
CXXXV
233
CXXXVI
235
CXXXVII
237
CXXXVIII
238
CXXXIX
241
CXL
244
CXLI
245
CXLII
248
CXLIII
249
CXLIV
251
CXLV
254
CXLVI
257
CXLVII
258
CXLVIII
259
CXLIX
264
CL
268
CLI
269
CLII
271
CLIV
274
CLV
276
CLVI
279
CLVII
281
CLVIII
284
CLIX
288
CLX
289
CLXI
291
CLXII
294
CLXIII
297
CLXV
298
CLXVI
300
CLXVII
303
CLXVIII
304
CLXX
306
CLXXI
310
CLXXII
311
CLXXIII
315
CLXXIV
316
CLXXV
318
CLXXVII
320
CLXXVIII
322
CLXXIX
326
CLXXX
327
CLXXXI
328
CLXXXIII
330
CLXXXIV
331
CLXXXV
333
CLXXXVI
337
CLXXXVII
340
CLXXXVIII
342
CXC
343
CXCI
346
CXCII
347
CXCIV
352
CXCV
354
CXCVI
355
CXCVII
359
CXCVIII
362
CXCIX
367
CC
368
CCI
370
CCII
372
CCIII
376
CCIV
382
CCV
383
CCVI
391
CCVII
395
CCVIII
397
CCIX
409
CCXI
410
CCXII
430
CCXIII
435
CCXIV
439
CCXV
449
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

About the author (1989)

Nicolas Bourbaki is the pseudonym for a group of mathematicians that included Henri Cartan, Claude Chevalley, Jean Dieudonne, and Andres Weil. Mostly French, they emphasized an axiomatic and abstract treatment on all aspects of modern mathematics in Elements de mathematique. The first volume of Elements appeared in 1939. Subsequently, a wide variety of topics have been covered, including works on set theory, algebra, general topology, functions of a real variable, topological vector spaces, and integration. One of the goals of the Bourbaki series is to make the logical structure of mathematical concepts as transparent and intelligible as possible. The books listed below are typical of volumes written in the Bourbaki spirit and now available in English.